My altern­at­ive: Do not sleep on the plane.Â At all.Â When you arrive, do not sleep – at all – until a loc­ally nor­mal bedtime.Â Pay the fixed cost without cheating.Â When you wake up eight to ten hours later, you will be refreshed and in sync with your new time zone.Â In exchange for less than a day of sleep depriva­tion, you will feel fine for the rest of your trip.